Let f'(x) = x³ - 9x² +24x +3.

Q: Find an equation of the plane. The plane through the points (2, -1, 3), (7, 4, 6), and (-2, -2,-2)

A: Points ( 2 ,-1 ,3) , ( 7 , 4 , 6 ) and ( -2 , -2 , -2 )

Q: Use partial fractions to find the integral f 17a-149 2-17+70 dr. O 10x + 70 ln 7-z|+7+70 In 10-x|+C…

A: I=∫17x-149x2-17x+70dx

Q: Fast pls solve this question correctly in 5 min pls I will give u instant 3 like for sure Mnty…

A: Given function g( t ) = t - t( t )18 Formula used ddxxn = nxn-1

Q: Find f(x + (x + 2)(x − 7)dx

A: We know that the integral of x^ndx =x^(n+1)/(n+1)+C  Where C is an constant

Q: Baby Boomers and Social Security Benefits Aging baby boomers will put a strain on Social Security…

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Q: Find the area of the region under y = 9ln(4x) and above y = 6 for 4 ≤ x ≤ 7. Round your answer to…

A: y = 9ln(4x), y= 6, 4<= x<=7

Q: a

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Q: Evaluate the given expression. Take 1 -1 0 x 1 w --[2-8] and c- [278] A = C= 0 4 -1 z r 6 4AT - CT ↓…

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Q: 43. k 100 k=1 (k + 1)!

A: We have to find whether the series diverges or converges.…

Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,052 yd of fencing with which to…

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Q: Solve each equation. 3) 6-6-3-3

A: We need to solve: 6-n=6-3n+3

Q: Use the Divergence Theorem to calculate the surface integral F. ds; that is, calculate the flux of F…

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Q: S²10 f(x) dx = -10, Use these values to evaluate the given definite integrals. 2 1) ²³ (f(x) + g(x))…

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Q: Find the intervals on which the function is continuous. f (x) = 4x x²+4 -6 -4 -2 Af -2 -4 O (-∞, 1),…

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Solve the equation. (2xy)dx + (y²-3x²)dy = 0 An implicit solution in the form F(x,y) = C is =C,…

A: 2xydx+y2-3x2dy=0

Q: (a) S₁ 2 x² - 2x dx (0) 1/2₂ dx (c) .f x¹ ln x dx, n ‡ −1

A: (a) Here, we have given an integral, I=∫122x2-2xdx. To integrate ∫122x(x-2)dx, we can use…

Q: _et f(x) = Then f'(x) = 6 sin 6 sin x + 4 cos π The equation of the tangent line to y = f(x) at a =…

A: fx=6sinx6sinx+4cosx

Q: Find the unit tangent vector T(t). r(t) = esti + cos(t)j - sin(4t)k, P(1, 1, 0)

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Q: If a rock is dropped from a height of 293 ft, its poistion t seconds after it is dropped until it…

A: st=-16t2+293

Q: 3-9-34

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Q: Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line…

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Q: ») If y = Σo (k + 1)xk+3 then y' = Σo

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Q: Question 5 Let sin 7rx cos 18ry = sin 7rx + cos 18my be the equation of a curve in the zy-plane.…

A: Formula used sina.cosb = 12[ sin( a + b ) + sin( a - b ) ] Given expression sin7πx.cos18πy = sin7πx…

Q: Solve the initial value problem. dy y dx x X 5|8 = 5xe*, y(1)=5e+7 The solution is y(x) = -

A: The given differential equation is;  dy/dx - y/x = 5xex, y(1)=5e+7

Q: x2y1/2 = 4x + 9113 4x + ۹y

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Q: afdæ dx Find + C

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Q: lim h-m √5x+5h - √5x h where 0 is consta

A: Find the limit  limh→05x+5h-5xh, where x>0 is a constant.

Q: Engin 2n

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Use the given vectors to answer the following questions. b = (-1, 1, 0), c = (0, 0, -5) a =(4, 2,…

A: We have to find the vector triple product.

Q: 2 2. Consider the series Σx-₁(-). Find a formula for the nth partial sum S, and k k+2 determine if…

A: we have given series ∑k=1∞ 2k-2k+2

Q: Find a plane containing the point (-1,3,-8) and the line of intersection of the planes-3x - 4y - 4z…

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Q: 3. a. Convert 225° to radians b. Convert 13/12 to degrees: approximate to 3 decimals

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Q: 1+ sin x 58. sin x cos (y − 1) = 2

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Q: Suppose that the marginal propensity to consume is dc (in billions of dollars) dy and that…

A: given,  dCdy=0.2-e-0.5y

Q: Suppose 4x² +9y² = 100, where x and y are functions of t. dx dy 1 dt 3 dt (a) If dx dt = (b) If dx…

A: Suppose 4x2+9y2 =100, where x and y are functions of t.  a) If dydt=13, find dxdt when x= 4 and y=2…

Q: 6. Compute of the following function by using implicit differentiation. dx x³+y³ - 6xy+1=0.

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Q: 3 - 2/3 + Find the sum: 3 3 16 64 + 3 256

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Q: This question is based on the following table, which shows the number of foreclosures in three…

A: Let's rearrange this table of foreclosures such that the name of the states comes in column and the…

Q: company estimates that its production costs, in dollars, for x items of a product is:         C(x)…

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Q: Find the change-of-coordinates matrix from B to the standard basis in R². 440 B The change of…

A: Given that B=4-2,18 we have to find the change of coordinate matrix from B to S That is PB→S=b1s b2s…

Q: Find a parametric representation for the surface. the part of the sphere x² + y² + z² = 36 that lies…

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Q: 3. fx³ (x - 1)20 dx

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Q: 5. Determine whether each of the series converges conditionally, converges absolutely, or diverges.…

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Q: Instructions: show your work & calculations step by step. 1. Find the closest point to the origin…

A: Find the closest point to the origin (0, 0) on the right of equation y = 6x + 8.

Q: Sh 2  Advanced math

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: (1) Evaluate ef cos³ a solution = Hint: Express cos¹ x in terms of sinx. Then use the substitution u…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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